A note on the sum of uniform random variables

被引：15
|
作者：
Buonocore, Aniello [1 ]
Pirozzi, Enrica [1 ]
Caputo, Luigia [2 ]
机构：
[1] Univ Naples Federico 2, Dipartimento Matemat & Applicaz, I-80126 Naples, Italy
[2] Univ Turin, Dipartimento Matemat, I-10123 Turin, Italy
来源：
STATISTICS & PROBABILITY LETTERS | 2009年 / 79卷 / 19期
关键词：
D O I：
10.1016/j.spl.2009.06.020
中图分类号：
O21 [概率论与数理统计]; C8 [统计学];
学科分类号：
020208 ; 070103 ; 0714 ;
摘要：
An inductive procedure is used to obtain distributions and probability densities for the sum S(n) of independent, non-equally uniform random variables. Some known results are then shown to follow immediately as special cases. Under the assumption of equally uniform random variables some new formulas are obtained for probabilities and means related to S(n) Finally, some new recursive formulas involving distributions are derived. (C) 2009 Elsevier B.V. All rights reserved.
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页码：2092 / 2097
页数：6
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